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Simplifying 5(1 + -1n) + 3n = 3(n + -1) + 2 (1 * 5 + -1n * 5) + 3n = 3(n + -1) + 2 (5 + -5n) + 3n = 3(n + -1) + 2 Combine like terms: -5n + 3n = -2n 5 + -2n = 3(n + -1) + 2 Reorder the terms: 5 + -2n = 3(-1 + n) + 2 5 + -2n = (-1 * 3 + n * 3) + 2 5 + -2n = (-3 + 3n) + 2 Reorder the terms: 5 + -2n = -3 + 2 + 3n Combine like terms: -3 + 2 = -1 5 + -2n = -1 + 3n Solving 5 + -2n = -1 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + -2n + -3n = -1 + 3n + -3n Combine like terms: -2n + -3n = -5n 5 + -5n = -1 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + -5n = -1 + 0 5 + -5n = -1 Add '-5' to each side of the equation. 5 + -5 + -5n = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -5n = -1 + -5 -5n = -1 + -5 Combine like terms: -1 + -5 = -6 -5n = -6 Divide each side by '-5'. n = 1.2 Simplifying n = 1.2
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